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Finding the Fourth Proportional to 265,705.16, 398,410.85 and 105,618.92

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Solution

The fourth proportional to 265,705.16, 398,410.85 and 105,618.92 is: 158,369.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,705.16 : 398,410.85 = 105,618.92 : x
  2. Step 2: Convert to fraction form
    265,705.16/398,410.85 = 105,618.92/x
  3. Step 3: Cross multiply
    265,705.16x = 398,410.85 × 105,618.92
  4. Step 4: Simplify right side
    265,705.16x = 42,079,721,965.28
  5. Step 5: Solve for x
    x = 42,079,721,965.28/265,705.16
  6. Step 6: Final answer
    x = 158,369.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.